| 可修排队系统Mx/G (M/H)1的瞬态解 |
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| 引用本文： | 史定华.可修排队系统Mx/G (M/H)1的瞬态解[J].控制理论与应用,1994,11(6):681-688. |
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| 作者姓名： | 史定华 |
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| 作者单位： | 上海科技大学数学系 |
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| 摘 要： | 本文研究一个典型的批到达可修排队系统＾ｘ／（／）１．记号（／）表服务台寿命服从指数分布，而其修理时间为一连续型分布。利用向量马氏过程方法，我们得到了它的瞬态解。特别是发现了服务台的可靠性指标仅依赖于可修排队系统的空闲概率，或等价地仅依赖于它的忙期和忙循环。
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| 关 键 词： | 排队论 可靠性 可修排队系统 向量马氏过程 |
| 收稿时间： | 1993/9/11 0:00:00 |
| 修稿时间： | 1994/4/4 0:00:00 |
The Transient Solution of the Repairable Queueing System Mx/G (M/H)1 |
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| SHI Dinghua.The Transient Solution of the Repairable Queueing System Mx/G (M/H)1[J].Control Theory & Applications,1994,11(6):681-688. |
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| Authors: | SHI Dinghua |
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| Affiliation: | Department of Mathematics, Shanghai University of Science and Technology |
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| Abstract: | This paper is concerned with the Repairable Queueing Systems (RQS), the Mx/G (M/H)1 is typical bulk-arrival RQS. The notatin (M/H) represents that the server lifetime is exponentially distributed, while its repair time has a general continuous distribution. By using the method of vector Markov process, its transient solution is easily obtained. Especially, the reliability indices of the server are only dependent on the idle probability of the RQS, or equivalently, on the busy period and busy cycle. |
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| Keywords: | queueing theory reliability theory repairable queueing system vector Markov process (method) |
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